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Simplifying (5 + 7i) + (-10 + -2i) = 0 Remove parenthesis around (5 + 7i) 5 + 7i + (-10 + -2i) = 0 Remove parenthesis around (-10 + -2i) 5 + 7i + -10 + -2i = 0 Reorder the terms: 5 + -10 + 7i + -2i = 0 Combine like terms: 5 + -10 = -5 -5 + 7i + -2i = 0 Combine like terms: 7i + -2i = 5i -5 + 5i = 0 Solving -5 + 5i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 5i = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 5i = 0 + 5 5i = 0 + 5 Combine like terms: 0 + 5 = 5 5i = 5 Divide each side by '5'. i = 1 Simplifying i = 1
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